\frac{dx_{1}}{dt} = \left(-1 \cdot k_{6} \cdot k_{7} \cdot \left(\left(-x_{2} \cdot \left(k_{4} - k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{8} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{8} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(\left(1 - 4 \cdot k_{8}\right) \cdot k_{9}\right)\right) + x_{30} \cdot \left(\left(-k_{4}\right) + x_{1} - 4 \cdot k_{8} \cdot x_{1} + k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{8} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{8} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(2 - 8 \cdot k_{8}\right)\right) / \left(k_{10} \cdot k_{11} \cdot \left(1 + x_{2} / k_{12} + x_{30} / k_{11}\right) \cdot \left(1 + \left(k_{4} - k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{8} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{8} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(\left(1 - 4 \cdot k_{8}\right) \cdot k_{13}\right) + \left(\left(-k_{4}\right) + x_{1} - 4 \cdot k_{8} \cdot x_{1} + k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{8} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{8} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(\left(2 - 8 \cdot k_{8}\right) \cdot k_{10}\right)\right)\right) + -1 \cdot k_{6} \cdot k_{18} \cdot k_{19} \cdot x_{3} \cdot \left(\left(-k_{4}\right) + x_{1} - 4 \cdot k_{20} \cdot x_{1} + k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{20} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{20} \cdot x_{1}^{2}^{\frac{1}{2}}\right) \cdot \left(1 + x_{3} / k_{21} + \left(\left(-k_{4}\right) + x_{1} - 4 \cdot k_{20} \cdot x_{1} + k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{20} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{20} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(\left(2 - 8 \cdot k_{20}\right) \cdot k_{22}\right) + k_{18} \cdot x_{3} \cdot \left(\left(-k_{4}\right) + x_{1} - 4 \cdot k_{20} \cdot x_{1} + k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{20} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{20} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(\left(2 - 8 \cdot k_{20}\right) \cdot k_{22} \cdot k_{21}\right)\right) / \left(\left(2 - 8 \cdot k_{20}\right) \cdot k_{22} \cdot k_{21} \cdot \left(k_{23} \cdot 1 + k_{24} \cdot k_{144} / k_{25} + k_{26} \cdot x_{4} / k_{27}^{2} \cdot 1 + 2 \cdot k_{28} \cdot k_{20} \cdot k_{4} - k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{20} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{20} \cdot x_{1}^{2}^{\frac{1}{2}}^{2} / \left(\left(-1 + 4 \cdot k_{20}\right) \cdot k_{29} \cdot \left(k_{4} - x_{1} + 4 \cdot k_{20} \cdot x_{1} - k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{20} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{20} \cdot x_{1}^{2}^{\frac{1}{2}}\right)\right)^{2} \cdot 1 + k_{30} \cdot \left(\left(-k_{4}\right) + x_{1} - 4 \cdot k_{20} \cdot x_{1} + k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{20} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{20} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(\left(2 - 8 \cdot k_{20}\right) \cdot k_{31}\right)^{2} \cdot 1 + k_{32} \cdot \left(\left(-k_{4}\right) + x_{1} - 4 \cdot k_{20} \cdot x_{1} + k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{20} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{20} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(\left(2 - 8 \cdot k_{20}\right) \cdot k_{22}\right)^{2} / \left(1 + k_{144} / k_{25} + x_{4} / k_{27}^{2} \cdot 1 + 2 \cdot k_{20} \cdot k_{4} - k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{20} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{20} \cdot x_{1}^{2}^{\frac{1}{2}}^{2} / \left(\left(-1 + 4 \cdot k_{20}\right) \cdot k_{29} \cdot \left(k_{4} - x_{1} + 4 \cdot k_{20} \cdot x_{1} - k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{20} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{20} \cdot x_{1}^{2}^{\frac{1}{2}}\right)\right)^{2} \cdot 1 + \left(\left(-k_{4}\right) + x_{1} - 4 \cdot k_{20} \cdot x_{1} + k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{20} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{20} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(\left(2 - 8 \cdot k_{20}\right) \cdot k_{31}\right)^{2}\right) + 1 + x_{3} / k_{21} + \left(\left(-k_{4}\right) + x_{1} - 4 \cdot k_{20} \cdot x_{1} + k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{20} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{20} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(\left(2 - 8 \cdot k_{20}\right) \cdot k_{22}\right) + k_{18} \cdot x_{3} \cdot \left(\left(-k_{4}\right) + x_{1} - 4 \cdot k_{20} \cdot x_{1} + k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{20} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{20} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(\left(2 - 8 \cdot k_{20}\right) \cdot k_{22} \cdot k_{21}\right)^{2}\right)\right) + 1 \cdot k_{6} \cdot k_{55} \cdot \left(k_{56} \cdot x_{7} \cdot \left(k_{4} - k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{57} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{57} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(1 - 4 \cdot k_{57}\right) - \left(\left(-k_{4}\right) + x_{1} - 4 \cdot k_{57} \cdot x_{1} + k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{57} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{57} \cdot x_{1}^{2}^{\frac{1}{2}}\right) \cdot x_{8} / \left(2 - 8 \cdot k_{57}\right)\right) / \left(k_{58} \cdot k_{59} \cdot \left(1 + \left(k_{4} - k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{57} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{57} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(\left(1 - 4 \cdot k_{57}\right) \cdot k_{60}\right) + \left(\left(-k_{4}\right) + x_{1} - 4 \cdot k_{57} \cdot x_{1} + k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{57} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{57} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(\left(2 - 8 \cdot k_{57}\right) \cdot k_{58}\right)\right) \cdot \left(1 + x_{7} / k_{61} + x_{8} / k_{59}\right)\right) + 1 \cdot k_{6} \cdot k_{70} / \left(k_{71} \cdot k_{72}\right) \cdot \left(x_{10} \cdot \left(k_{4} - x_{1}^{2} - 4 \cdot k_{73} \cdot x_{1}^{2} - 2 \cdot x_{1} \cdot k_{4} + 8 \cdot k_{73} \cdot x_{1} \cdot k_{4} + k_{4}^{2}^{\frac{1}{2}}\right) / \left(1 - 4 \cdot k_{73}\right) - x_{11} \cdot \left(x_{1} - 4 \cdot k_{73} \cdot x_{1} - k_{4} + x_{1}^{2} - 4 \cdot k_{73} \cdot x_{1}^{2} - 2 \cdot x_{1} \cdot k_{4} + 8 \cdot k_{73} \cdot x_{1} \cdot k_{4} + k_{4}^{2}^{\frac{1}{2}}\right) / \left(2 - 8 \cdot k_{73}\right) / k_{74}\right) / \left(\left(1 + x_{10} / k_{71} + x_{11} / k_{75}\right) \cdot \left(1 + \left(x_{1} - 4 \cdot k_{73} \cdot x_{1} - k_{4} + x_{1}^{2} - 4 \cdot k_{73} \cdot x_{1}^{2} - 2 \cdot x_{1} \cdot k_{4} + 8 \cdot k_{73} \cdot x_{1} \cdot k_{4} + k_{4}^{2}^{\frac{1}{2}}\right) / \left(2 - 8 \cdot k_{73}\right) / k_{76} + \left(k_{4} - x_{1}^{2} - 4 \cdot k_{73} \cdot x_{1}^{2} - 2 \cdot x_{1} \cdot k_{4} + 8 \cdot k_{73} \cdot x_{1} \cdot k_{4} + k_{4}^{2}^{\frac{1}{2}}\right) / \left(1 - 4 \cdot k_{73}\right) / k_{72}\right)\right) + -1 \cdot k_{6} \cdot k_{91} \cdot \left(x_{1} - 4 \cdot k_{92} \cdot x_{1} - k_{4} + x_{1}^{2} - 4 \cdot k_{92} \cdot x_{1}^{2} - 2 \cdot x_{1} \cdot k_{4} + 8 \cdot k_{92} \cdot x_{1} \cdot k_{4} + k_{4}^{2}^{\frac{1}{2}}\right) / \left(2 - 8 \cdot k_{92}\right)\right) / k_{6}\\ \frac{dx_{2}}{dt} = \left(1 \cdot k_{6} \cdot k_{7} \cdot \left(\left(-x_{2} \cdot \left(k_{4} - k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{8} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{8} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(\left(1 - 4 \cdot k_{8}\right) \cdot k_{9}\right)\right) + x_{30} \cdot \left(\left(-k_{4}\right) + x_{1} - 4 \cdot k_{8} \cdot x_{1} + k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{8} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{8} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(2 - 8 \cdot k_{8}\right)\right) / \left(k_{10} \cdot k_{11} \cdot \left(1 + x_{2} / k_{12} + x_{30} / k_{11}\right) \cdot \left(1 + \left(k_{4} - k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{8} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{8} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(\left(1 - 4 \cdot k_{8}\right) \cdot k_{13}\right) + \left(\left(-k_{4}\right) + x_{1} - 4 \cdot k_{8} \cdot x_{1} + k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{8} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{8} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(\left(2 - 8 \cdot k_{8}\right) \cdot k_{10}\right)\right)\right) + -1 \cdot k_{6} \cdot k_{14} / k_{15} \cdot \left(x_{2} - x_{3} / k_{16}\right) / \left(1 + x_{2} / k_{15} + x_{3} / k_{17}\right) + -1 \cdot k_{6} \cdot k_{97} \cdot x_{2} \cdot x_{22} / \left(k_{98} \cdot k_{99}\right) / \left(\left(1 + x_{2} / k_{98} + x_{23} / k_{100}\right) \cdot \left(1 + x_{22} / k_{99}\right)\right)\right) / k_{6}\\ \frac{dx_{3}}{dt} = \left(1 \cdot k_{6} \cdot k_{14} / k_{15} \cdot \left(x_{2} - x_{3} / k_{16}\right) / \left(1 + x_{2} / k_{15} + x_{3} / k_{17}\right) + -1 \cdot k_{6} \cdot k_{18} \cdot k_{19} \cdot x_{3} \cdot \left(\left(-k_{4}\right) + x_{1} - 4 \cdot k_{20} \cdot x_{1} + k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{20} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{20} \cdot x_{1}^{2}^{\frac{1}{2}}\right) \cdot \left(1 + x_{3} / k_{21} + \left(\left(-k_{4}\right) + x_{1} - 4 \cdot k_{20} \cdot x_{1} + k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{20} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{20} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(\left(2 - 8 \cdot k_{20}\right) \cdot k_{22}\right) + k_{18} \cdot x_{3} \cdot \left(\left(-k_{4}\right) + x_{1} - 4 \cdot k_{20} \cdot x_{1} + k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{20} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{20} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(\left(2 - 8 \cdot k_{20}\right) \cdot k_{22} \cdot k_{21}\right)\right) / \left(\left(2 - 8 \cdot k_{20}\right) \cdot k_{22} \cdot k_{21} \cdot \left(k_{23} \cdot 1 + k_{24} \cdot k_{144} / k_{25} + k_{26} \cdot x_{4} / k_{27}^{2} \cdot 1 + 2 \cdot k_{28} \cdot k_{20} \cdot k_{4} - k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{20} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{20} \cdot x_{1}^{2}^{\frac{1}{2}}^{2} / \left(\left(-1 + 4 \cdot k_{20}\right) \cdot k_{29} \cdot \left(k_{4} - x_{1} + 4 \cdot k_{20} \cdot x_{1} - k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{20} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{20} \cdot x_{1}^{2}^{\frac{1}{2}}\right)\right)^{2} \cdot 1 + k_{30} \cdot \left(\left(-k_{4}\right) + x_{1} - 4 \cdot k_{20} \cdot x_{1} + k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{20} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{20} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(\left(2 - 8 \cdot k_{20}\right) \cdot k_{31}\right)^{2} \cdot 1 + k_{32} \cdot \left(\left(-k_{4}\right) + x_{1} - 4 \cdot k_{20} \cdot x_{1} + k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{20} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{20} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(\left(2 - 8 \cdot k_{20}\right) \cdot k_{22}\right)^{2} / \left(1 + k_{144} / k_{25} + x_{4} / k_{27}^{2} \cdot 1 + 2 \cdot k_{20} \cdot k_{4} - k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{20} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{20} \cdot x_{1}^{2}^{\frac{1}{2}}^{2} / \left(\left(-1 + 4 \cdot k_{20}\right) \cdot k_{29} \cdot \left(k_{4} - x_{1} + 4 \cdot k_{20} \cdot x_{1} - k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{20} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{20} \cdot x_{1}^{2}^{\frac{1}{2}}\right)\right)^{2} \cdot 1 + \left(\left(-k_{4}\right) + x_{1} - 4 \cdot k_{20} \cdot x_{1} + k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{20} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{20} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(\left(2 - 8 \cdot k_{20}\right) \cdot k_{31}\right)^{2}\right) + 1 + x_{3} / k_{21} + \left(\left(-k_{4}\right) + x_{1} - 4 \cdot k_{20} \cdot x_{1} + k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{20} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{20} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(\left(2 - 8 \cdot k_{20}\right) \cdot k_{22}\right) + k_{18} \cdot x_{3} \cdot \left(\left(-k_{4}\right) + x_{1} - 4 \cdot k_{20} \cdot x_{1} + k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{20} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{20} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(\left(2 - 8 \cdot k_{20}\right) \cdot k_{22} \cdot k_{21}\right)^{2}\right)\right) + 1 \cdot k_{6} \cdot \left(k_{121} \cdot x_{17} \cdot x_{27} / \left(k_{123} \cdot k_{124}\right) - k_{122} \cdot x_{3} \cdot x_{28} / \left(k_{125} \cdot k_{126}\right)\right) / \left(\left(1 + x_{17} / k_{123} + x_{3} / k_{125}\right) \cdot \left(1 + x_{27} / k_{124} + x_{28} / k_{126}\right)\right) + 1 \cdot k_{6} \cdot \left(k_{127} \cdot x_{28} \cdot x_{26} / \left(k_{130} \cdot k_{129}\right) - k_{128} \cdot x_{3} \cdot x_{17} / \left(k_{131} \cdot k_{132}\right)\right) / \left(\left(1 + x_{26} / k_{129} + x_{17} / k_{132}\right) \cdot \left(1 + x_{28} / k_{130} + x_{3} / k_{131}\right)\right)\right) / k_{6}\\ \frac{dx_{4}}{dt} = \left(1 \cdot k_{6} \cdot k_{18} \cdot k_{19} \cdot x_{3} \cdot \left(\left(-k_{4}\right) + x_{1} - 4 \cdot k_{20} \cdot x_{1} + k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{20} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{20} \cdot x_{1}^{2}^{\frac{1}{2}}\right) \cdot \left(1 + x_{3} / k_{21} + \left(\left(-k_{4}\right) + x_{1} - 4 \cdot k_{20} \cdot x_{1} + k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{20} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{20} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(\left(2 - 8 \cdot k_{20}\right) \cdot k_{22}\right) + k_{18} \cdot x_{3} \cdot \left(\left(-k_{4}\right) + x_{1} - 4 \cdot k_{20} \cdot x_{1} + k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{20} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{20} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(\left(2 - 8 \cdot k_{20}\right) \cdot k_{22} \cdot k_{21}\right)\right) / \left(\left(2 - 8 \cdot k_{20}\right) \cdot k_{22} \cdot k_{21} \cdot \left(k_{23} \cdot 1 + k_{24} \cdot k_{144} / k_{25} + k_{26} \cdot x_{4} / k_{27}^{2} \cdot 1 + 2 \cdot k_{28} \cdot k_{20} \cdot k_{4} - k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{20} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{20} \cdot x_{1}^{2}^{\frac{1}{2}}^{2} / \left(\left(-1 + 4 \cdot k_{20}\right) \cdot k_{29} \cdot \left(k_{4} - x_{1} + 4 \cdot k_{20} \cdot x_{1} - k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{20} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{20} \cdot x_{1}^{2}^{\frac{1}{2}}\right)\right)^{2} \cdot 1 + k_{30} \cdot \left(\left(-k_{4}\right) + x_{1} - 4 \cdot k_{20} \cdot x_{1} + k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{20} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{20} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(\left(2 - 8 \cdot k_{20}\right) \cdot k_{31}\right)^{2} \cdot 1 + k_{32} \cdot \left(\left(-k_{4}\right) + x_{1} - 4 \cdot k_{20} \cdot x_{1} + k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{20} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{20} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(\left(2 - 8 \cdot k_{20}\right) \cdot k_{22}\right)^{2} / \left(1 + k_{144} / k_{25} + x_{4} / k_{27}^{2} \cdot 1 + 2 \cdot k_{20} \cdot k_{4} - k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{20} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{20} \cdot x_{1}^{2}^{\frac{1}{2}}^{2} / \left(\left(-1 + 4 \cdot k_{20}\right) \cdot k_{29} \cdot \left(k_{4} - x_{1} + 4 \cdot k_{20} \cdot x_{1} - k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{20} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{20} \cdot x_{1}^{2}^{\frac{1}{2}}\right)\right)^{2} \cdot 1 + \left(\left(-k_{4}\right) + x_{1} - 4 \cdot k_{20} \cdot x_{1} + k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{20} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{20} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(\left(2 - 8 \cdot k_{20}\right) \cdot k_{31}\right)^{2}\right) + 1 + x_{3} / k_{21} + \left(\left(-k_{4}\right) + x_{1} - 4 \cdot k_{20} \cdot x_{1} + k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{20} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{20} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(\left(2 - 8 \cdot k_{20}\right) \cdot k_{22}\right) + k_{18} \cdot x_{3} \cdot \left(\left(-k_{4}\right) + x_{1} - 4 \cdot k_{20} \cdot x_{1} + k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{20} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{20} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(\left(2 - 8 \cdot k_{20}\right) \cdot k_{22} \cdot k_{21}\right)^{2}\right)\right) + -1 \cdot k_{6} \cdot k_{33} \cdot x_{4} / k_{36} \cdot \left(1 - x_{18} \cdot x_{17} / \left(x_{4} \cdot k_{35}\right)\right) / \left(1 + x_{4} / k_{36} + x_{18} / k_{37} + x_{17} / k_{38} + x_{4} \cdot x_{17} / \left(k_{36} \cdot k_{39}\right) + x_{18} \cdot x_{17} / \left(k_{37} \cdot k_{38}\right)\right)\right) / k_{6}\\ \frac{dx_{5}}{dt} = \left(-1 \cdot k_{6} \cdot k_{40} \cdot \left(\left(-k_{142} \cdot x_{6} / k_{41}\right) + x_{5} \cdot x_{18} / \left(1 + k_{42}\right)\right) / \left(k_{43} \cdot k_{44} \cdot \left(1 + x_{6} / k_{45} + x_{5} / k_{44}\right) \cdot \left(1 + k_{142} / k_{46} + x_{18} / \left(\left(1 + k_{42}\right) \cdot k_{43}\right)\right)\right) + 1 \cdot k_{6} \cdot k_{2} \cdot k_{51} \cdot x_{17} \cdot x_{6} / \left(k_{52} \cdot k_{53}\right) \cdot \left(1 - x_{7} \cdot x_{5} / \left(x_{17} \cdot x_{6} \cdot k_{54}\right)\right) / \left(\left(1 + x_{17} / k_{52} + x_{7} / k_{48}\right) \cdot \left(1 + x_{6} / k_{53} + x_{5} / k_{49}\right)\right) + 3 \cdot k_{6} \cdot k_{80} \cdot x_{12} + -1 \cdot k_{6} \cdot \left(-k_{81} / \left(k_{82} \cdot k_{83}\right) \cdot \left(x_{6} \cdot k_{139} - x_{5} \cdot x_{12} / k_{84}\right) / \left(1 + x_{6} / k_{82} + k_{85} \cdot k_{139} / \left(k_{82} \cdot k_{83}\right) + k_{86} \cdot x_{12} / \left(k_{87} \cdot k_{88}\right) + x_{5} / k_{87} + x_{6} \cdot k_{139} / \left(k_{82} \cdot k_{83}\right) + k_{86} \cdot x_{6} \cdot x_{12} / \left(k_{82} \cdot k_{87} \cdot k_{88}\right) + k_{85} \cdot k_{139} \cdot x_{5} / \left(k_{82} \cdot k_{83} \cdot k_{87}\right) + x_{5} \cdot x_{12} / \left(k_{87} \cdot k_{88}\right) + x_{6} \cdot k_{139} \cdot x_{12} / \left(k_{82} \cdot k_{83} \cdot k_{89}\right) + k_{139} \cdot x_{5} \cdot x_{12} / \left(k_{90} \cdot k_{87} \cdot k_{88}\right)\right)\right)\right) / k_{6}\\ \frac{dx_{6}}{dt} = \left(1 \cdot k_{6} \cdot k_{40} \cdot \left(\left(-k_{142} \cdot x_{6} / k_{41}\right) + x_{5} \cdot x_{18} / \left(1 + k_{42}\right)\right) / \left(k_{43} \cdot k_{44} \cdot \left(1 + x_{6} / k_{45} + x_{5} / k_{44}\right) \cdot \left(1 + k_{142} / k_{46} + x_{18} / \left(\left(1 + k_{42}\right) \cdot k_{43}\right)\right)\right) + -1 \cdot k_{6} \cdot k_{2} \cdot k_{51} \cdot x_{17} \cdot x_{6} / \left(k_{52} \cdot k_{53}\right) \cdot \left(1 - x_{7} \cdot x_{5} / \left(x_{17} \cdot x_{6} \cdot k_{54}\right)\right) / \left(\left(1 + x_{17} / k_{52} + x_{7} / k_{48}\right) \cdot \left(1 + x_{6} / k_{53} + x_{5} / k_{49}\right)\right) + -3 \cdot k_{6} \cdot k_{80} \cdot x_{12} + 1 \cdot k_{6} \cdot \left(-k_{81} / \left(k_{82} \cdot k_{83}\right) \cdot \left(x_{6} \cdot k_{139} - x_{5} \cdot x_{12} / k_{84}\right) / \left(1 + x_{6} / k_{82} + k_{85} \cdot k_{139} / \left(k_{82} \cdot k_{83}\right) + k_{86} \cdot x_{12} / \left(k_{87} \cdot k_{88}\right) + x_{5} / k_{87} + x_{6} \cdot k_{139} / \left(k_{82} \cdot k_{83}\right) + k_{86} \cdot x_{6} \cdot x_{12} / \left(k_{82} \cdot k_{87} \cdot k_{88}\right) + k_{85} \cdot k_{139} \cdot x_{5} / \left(k_{82} \cdot k_{83} \cdot k_{87}\right) + x_{5} \cdot x_{12} / \left(k_{87} \cdot k_{88}\right) + x_{6} \cdot k_{139} \cdot x_{12} / \left(k_{82} \cdot k_{83} \cdot k_{89}\right) + k_{139} \cdot x_{5} \cdot x_{12} / \left(k_{90} \cdot k_{87} \cdot k_{88}\right)\right)\right)\right) / k_{6}\\ \frac{dx_{7}}{dt} = \left(1 \cdot k_{6} \cdot k_{2} \cdot k_{51} \cdot x_{17} \cdot x_{6} / \left(k_{52} \cdot k_{53}\right) \cdot \left(1 - x_{7} \cdot x_{5} / \left(x_{17} \cdot x_{6} \cdot k_{54}\right)\right) / \left(\left(1 + x_{17} / k_{52} + x_{7} / k_{48}\right) \cdot \left(1 + x_{6} / k_{53} + x_{5} / k_{49}\right)\right) + -1 \cdot k_{6} \cdot k_{55} \cdot \left(k_{56} \cdot x_{7} \cdot \left(k_{4} - k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{57} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{57} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(1 - 4 \cdot k_{57}\right) - \left(\left(-k_{4}\right) + x_{1} - 4 \cdot k_{57} \cdot x_{1} + k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{57} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{57} \cdot x_{1}^{2}^{\frac{1}{2}}\right) \cdot x_{8} / \left(2 - 8 \cdot k_{57}\right)\right) / \left(k_{58} \cdot k_{59} \cdot \left(1 + \left(k_{4} - k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{57} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{57} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(\left(1 - 4 \cdot k_{57}\right) \cdot k_{60}\right) + \left(\left(-k_{4}\right) + x_{1} - 4 \cdot k_{57} \cdot x_{1} + k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{57} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{57} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(\left(2 - 8 \cdot k_{57}\right) \cdot k_{58}\right)\right) \cdot \left(1 + x_{7} / k_{61} + x_{8} / k_{59}\right)\right)\right) / k_{6}\\ \frac{dx_{8}}{dt} = \left(1 \cdot k_{6} \cdot k_{55} \cdot \left(k_{56} \cdot x_{7} \cdot \left(k_{4} - k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{57} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{57} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(1 - 4 \cdot k_{57}\right) - \left(\left(-k_{4}\right) + x_{1} - 4 \cdot k_{57} \cdot x_{1} + k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{57} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{57} \cdot x_{1}^{2}^{\frac{1}{2}}\right) \cdot x_{8} / \left(2 - 8 \cdot k_{57}\right)\right) / \left(k_{58} \cdot k_{59} \cdot \left(1 + \left(k_{4} - k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{57} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{57} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(\left(1 - 4 \cdot k_{57}\right) \cdot k_{60}\right) + \left(\left(-k_{4}\right) + x_{1} - 4 \cdot k_{57} \cdot x_{1} + k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{57} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{57} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(\left(2 - 8 \cdot k_{57}\right) \cdot k_{58}\right)\right) \cdot \left(1 + x_{7} / k_{61} + x_{8} / k_{59}\right)\right) + -1 \cdot k_{6} \cdot k_{62} / k_{63} \cdot \left(x_{8} - x_{9} / k_{64}\right) / \left(1 + x_{8} / k_{63} + x_{9} / k_{65}\right)\right) / k_{6}\\ \frac{dx_{9}}{dt} = \left(1 \cdot k_{6} \cdot k_{62} / k_{63} \cdot \left(x_{8} - x_{9} / k_{64}\right) / \left(1 + x_{8} / k_{63} + x_{9} / k_{65}\right) + -1 \cdot k_{6} \cdot k_{66} / k_{67} \cdot \left(x_{9} - x_{10} / k_{68}\right) / \left(1 + x_{9} / k_{67} + x_{10} / k_{69}\right)\right) / k_{6}\\ \frac{dx_{10}}{dt} = \left(1 \cdot k_{6} \cdot k_{66} / k_{67} \cdot \left(x_{9} - x_{10} / k_{68}\right) / \left(1 + x_{9} / k_{67} + x_{10} / k_{69}\right) + -1 \cdot k_{6} \cdot k_{70} / \left(k_{71} \cdot k_{72}\right) \cdot \left(x_{10} \cdot \left(k_{4} - x_{1}^{2} - 4 \cdot k_{73} \cdot x_{1}^{2} - 2 \cdot x_{1} \cdot k_{4} + 8 \cdot k_{73} \cdot x_{1} \cdot k_{4} + k_{4}^{2}^{\frac{1}{2}}\right) / \left(1 - 4 \cdot k_{73}\right) - x_{11} \cdot \left(x_{1} - 4 \cdot k_{73} \cdot x_{1} - k_{4} + x_{1}^{2} - 4 \cdot k_{73} \cdot x_{1}^{2} - 2 \cdot x_{1} \cdot k_{4} + 8 \cdot k_{73} \cdot x_{1} \cdot k_{4} + k_{4}^{2}^{\frac{1}{2}}\right) / \left(2 - 8 \cdot k_{73}\right) / k_{74}\right) / \left(\left(1 + x_{10} / k_{71} + x_{11} / k_{75}\right) \cdot \left(1 + \left(x_{1} - 4 \cdot k_{73} \cdot x_{1} - k_{4} + x_{1}^{2} - 4 \cdot k_{73} \cdot x_{1}^{2} - 2 \cdot x_{1} \cdot k_{4} + 8 \cdot k_{73} \cdot x_{1} \cdot k_{4} + k_{4}^{2}^{\frac{1}{2}}\right) / \left(2 - 8 \cdot k_{73}\right) / k_{76} + \left(k_{4} - x_{1}^{2} - 4 \cdot k_{73} \cdot x_{1}^{2} - 2 \cdot x_{1} \cdot k_{4} + 8 \cdot k_{73} \cdot x_{1} \cdot k_{4} + k_{4}^{2}^{\frac{1}{2}}\right) / \left(1 - 4 \cdot k_{73}\right) / k_{72}\right)\right)\right) / k_{6}\\ \frac{dx_{11}}{dt} = \left(1 \cdot k_{6} \cdot k_{70} / \left(k_{71} \cdot k_{72}\right) \cdot \left(x_{10} \cdot \left(k_{4} - x_{1}^{2} - 4 \cdot k_{73} \cdot x_{1}^{2} - 2 \cdot x_{1} \cdot k_{4} + 8 \cdot k_{73} \cdot x_{1} \cdot k_{4} + k_{4}^{2}^{\frac{1}{2}}\right) / \left(1 - 4 \cdot k_{73}\right) - x_{11} \cdot \left(x_{1} - 4 \cdot k_{73} \cdot x_{1} - k_{4} + x_{1}^{2} - 4 \cdot k_{73} \cdot x_{1}^{2} - 2 \cdot x_{1} \cdot k_{4} + 8 \cdot k_{73} \cdot x_{1} \cdot k_{4} + k_{4}^{2}^{\frac{1}{2}}\right) / \left(2 - 8 \cdot k_{73}\right) / k_{74}\right) / \left(\left(1 + x_{10} / k_{71} + x_{11} / k_{75}\right) \cdot \left(1 + \left(x_{1} - 4 \cdot k_{73} \cdot x_{1} - k_{4} + x_{1}^{2} - 4 \cdot k_{73} \cdot x_{1}^{2} - 2 \cdot x_{1} \cdot k_{4} + 8 \cdot k_{73} \cdot x_{1} \cdot k_{4} + k_{4}^{2}^{\frac{1}{2}}\right) / \left(2 - 8 \cdot k_{73}\right) / k_{76} + \left(k_{4} - x_{1}^{2} - 4 \cdot k_{73} \cdot x_{1}^{2} - 2 \cdot x_{1} \cdot k_{4} + 8 \cdot k_{73} \cdot x_{1} \cdot k_{4} + k_{4}^{2}^{\frac{1}{2}}\right) / \left(1 - 4 \cdot k_{73}\right) / k_{72}\right)\right) + -1 \cdot k_{6} \cdot k_{77} \cdot x_{11}^{k_{78}} / k_{79}^{k_{78}} / \left(1 + x_{11}^{k_{78}} / k_{79}^{k_{78}}\right)\right) / k_{6}\\ \frac{dx_{12}}{dt} = \left(1 \cdot k_{6} \cdot k_{77} \cdot x_{11}^{k_{78}} / k_{79}^{k_{78}} / \left(1 + x_{11}^{k_{78}} / k_{79}^{k_{78}}\right) + -2 \cdot k_{6} \cdot k_{80} \cdot x_{12} + -1 \cdot k_{6} \cdot \left(-k_{81} / \left(k_{82} \cdot k_{83}\right) \cdot \left(x_{6} \cdot k_{139} - x_{5} \cdot x_{12} / k_{84}\right) / \left(1 + x_{6} / k_{82} + k_{85} \cdot k_{139} / \left(k_{82} \cdot k_{83}\right) + k_{86} \cdot x_{12} / \left(k_{87} \cdot k_{88}\right) + x_{5} / k_{87} + x_{6} \cdot k_{139} / \left(k_{82} \cdot k_{83}\right) + k_{86} \cdot x_{6} \cdot x_{12} / \left(k_{82} \cdot k_{87} \cdot k_{88}\right) + k_{85} \cdot k_{139} \cdot x_{5} / \left(k_{82} \cdot k_{83} \cdot k_{87}\right) + x_{5} \cdot x_{12} / \left(k_{87} \cdot k_{88}\right) + x_{6} \cdot k_{139} \cdot x_{12} / \left(k_{82} \cdot k_{83} \cdot k_{89}\right) + k_{139} \cdot x_{5} \cdot x_{12} / \left(k_{90} \cdot k_{87} \cdot k_{88}\right)\right)\right)\right) / k_{6}\\ \frac{dx_{13}}{dt} = 0\\ \frac{dx_{14}}{dt} = 0\\ \frac{dx_{15}}{dt} = 0\\ \frac{dx_{16}}{dt} = 0\\ \frac{dx_{17}}{dt} = \left(1 \cdot k_{6} \cdot k_{33} \cdot x_{4} / k_{36} \cdot \left(1 - x_{18} \cdot x_{17} / \left(x_{4} \cdot k_{35}\right)\right) / \left(1 + x_{4} / k_{36} + x_{18} / k_{37} + x_{17} / k_{38} + x_{4} \cdot x_{17} / \left(k_{36} \cdot k_{39}\right) + x_{18} \cdot x_{17} / \left(k_{37} \cdot k_{38}\right)\right) + -1 \cdot k_{6} \cdot k_{2} \cdot k_{51} \cdot x_{17} \cdot x_{6} / \left(k_{52} \cdot k_{53}\right) \cdot \left(1 - x_{7} \cdot x_{5} / \left(x_{17} \cdot x_{6} \cdot k_{54}\right)\right) / \left(\left(1 + x_{17} / k_{52} + x_{7} / k_{48}\right) \cdot \left(1 + x_{6} / k_{53} + x_{5} / k_{49}\right)\right) + -1 \cdot k_{6} \cdot k_{1} \cdot \left(k_{95} \cdot x_{17} / k_{93} - k_{96} \cdot x_{18} / k_{94}\right) / \left(1 + x_{17} / k_{93} + x_{18} / k_{94}\right) + 1 \cdot k_{6} \cdot \left(k_{111} \cdot x_{25} \cdot x_{26} / \left(k_{113} \cdot k_{114}\right) - k_{112} \cdot x_{17} \cdot x_{27} / \left(k_{115} \cdot k_{116}\right)\right) / \left(\left(1 + x_{25} / k_{113} + x_{17} / k_{115}\right) \cdot \left(1 + x_{26} / k_{114} + x_{27} / k_{116}\right)\right) + -1 \cdot k_{6} \cdot \left(k_{121} \cdot x_{17} \cdot x_{27} / \left(k_{123} \cdot k_{124}\right) - k_{122} \cdot x_{3} \cdot x_{28} / \left(k_{125} \cdot k_{126}\right)\right) / \left(\left(1 + x_{17} / k_{123} + x_{3} / k_{125}\right) \cdot \left(1 + x_{27} / k_{124} + x_{28} / k_{126}\right)\right) + 1 \cdot k_{6} \cdot \left(k_{127} \cdot x_{28} \cdot x_{26} / \left(k_{130} \cdot k_{129}\right) - k_{128} \cdot x_{3} \cdot x_{17} / \left(k_{131} \cdot k_{132}\right)\right) / \left(\left(1 + x_{26} / k_{129} + x_{17} / k_{132}\right) \cdot \left(1 + x_{28} / k_{130} + x_{3} / k_{131}\right)\right)\right) / k_{6}\\ \frac{dx_{18}}{dt} = \left(1 \cdot k_{6} \cdot k_{33} \cdot x_{4} / k_{36} \cdot \left(1 - x_{18} \cdot x_{17} / \left(x_{4} \cdot k_{35}\right)\right) / \left(1 + x_{4} / k_{36} + x_{18} / k_{37} + x_{17} / k_{38} + x_{4} \cdot x_{17} / \left(k_{36} \cdot k_{39}\right) + x_{18} \cdot x_{17} / \left(k_{37} \cdot k_{38}\right)\right) + -1 \cdot k_{6} \cdot k_{40} \cdot \left(\left(-k_{142} \cdot x_{6} / k_{41}\right) + x_{5} \cdot x_{18} / \left(1 + k_{42}\right)\right) / \left(k_{43} \cdot k_{44} \cdot \left(1 + x_{6} / k_{45} + x_{5} / k_{44}\right) \cdot \left(1 + k_{142} / k_{46} + x_{18} / \left(\left(1 + k_{42}\right) \cdot k_{43}\right)\right)\right) + 1 \cdot k_{6} \cdot k_{1} \cdot \left(k_{95} \cdot x_{17} / k_{93} - k_{96} \cdot x_{18} / k_{94}\right) / \left(1 + x_{17} / k_{93} + x_{18} / k_{94}\right)\right) / k_{6}\\ \frac{dx_{19}}{dt} = 0\\ \frac{dx_{20}}{dt} = \left(1 \cdot k_{6} \cdot k_{97} \cdot x_{2} \cdot x_{22} / \left(k_{98} \cdot k_{99}\right) / \left(\left(1 + x_{2} / k_{98} + x_{23} / k_{100}\right) \cdot \left(1 + x_{22} / k_{99}\right)\right) + -1 \cdot k_{6} \cdot k_{101} \cdot x_{20} / \left(k_{102} + x_{20}\right)\right) / k_{6}\\ \frac{dx_{21}}{dt} = \left(1 \cdot k_{6} \cdot k_{101} \cdot x_{20} / \left(k_{102} + x_{20}\right) + -1 \cdot k_{6} \cdot k_{103} \cdot x_{21} \cdot x_{22} / \left(k_{104} \cdot k_{105}\right) / \left(\left(1 + x_{21} / k_{104} + x_{23} / k_{106}\right) \cdot \left(1 + x_{22} / k_{105}\right)\right)\right) / k_{6}\\ \frac{dx_{22}}{dt} = \left(-1 \cdot k_{6} \cdot k_{97} \cdot x_{2} \cdot x_{22} / \left(k_{98} \cdot k_{99}\right) / \left(\left(1 + x_{2} / k_{98} + x_{23} / k_{100}\right) \cdot \left(1 + x_{22} / k_{99}\right)\right) + -1 \cdot k_{6} \cdot k_{103} \cdot x_{21} \cdot x_{22} / \left(k_{104} \cdot k_{105}\right) / \left(\left(1 + x_{21} / k_{104} + x_{23} / k_{106}\right) \cdot \left(1 + x_{22} / k_{105}\right)\right) + 1 \cdot k_{6} \cdot k_{133} \cdot x_{23}\right) / k_{6}\\ \frac{dx_{23}}{dt} = \left(1 \cdot k_{6} \cdot k_{97} \cdot x_{2} \cdot x_{22} / \left(k_{98} \cdot k_{99}\right) / \left(\left(1 + x_{2} / k_{98} + x_{23} / k_{100}\right) \cdot \left(1 + x_{22} / k_{99}\right)\right) + 1 \cdot k_{6} \cdot k_{103} \cdot x_{21} \cdot x_{22} / \left(k_{104} \cdot k_{105}\right) / \left(\left(1 + x_{21} / k_{104} + x_{23} / k_{106}\right) \cdot \left(1 + x_{22} / k_{105}\right)\right) + -1 \cdot k_{6} \cdot k_{133} \cdot x_{23}\right) / k_{6}\\ \frac{dx_{24}}{dt} = \left(1 \cdot k_{6} \cdot k_{103} \cdot x_{21} \cdot x_{22} / \left(k_{104} \cdot k_{105}\right) / \left(\left(1 + x_{21} / k_{104} + x_{23} / k_{106}\right) \cdot \left(1 + x_{22} / k_{105}\right)\right) + -1 \cdot k_{6} \cdot \left(k_{107} \cdot x_{24} / k_{109} - k_{108} \cdot x_{25} / k_{110}\right) / \left(1 + x_{24} / k_{109} + x_{25} / k_{110}\right) + -1 \cdot k_{6} \cdot \left(k_{117} \cdot x_{24} / k_{119} - k_{118} \cdot x_{26} / k_{120}\right) / \left(1 + x_{24} / k_{119} + x_{26} / k_{120}\right)\right) / k_{6}\\ \frac{dx_{25}}{dt} = \left(1 \cdot k_{6} \cdot \left(k_{107} \cdot x_{24} / k_{109} - k_{108} \cdot x_{25} / k_{110}\right) / \left(1 + x_{24} / k_{109} + x_{25} / k_{110}\right) + -1 \cdot k_{6} \cdot \left(k_{111} \cdot x_{25} \cdot x_{26} / \left(k_{113} \cdot k_{114}\right) - k_{112} \cdot x_{17} \cdot x_{27} / \left(k_{115} \cdot k_{116}\right)\right) / \left(\left(1 + x_{25} / k_{113} + x_{17} / k_{115}\right) \cdot \left(1 + x_{26} / k_{114} + x_{27} / k_{116}\right)\right)\right) / k_{6}\\ \frac{dx_{26}}{dt} = \left(-1 \cdot k_{6} \cdot \left(k_{111} \cdot x_{25} \cdot x_{26} / \left(k_{113} \cdot k_{114}\right) - k_{112} \cdot x_{17} \cdot x_{27} / \left(k_{115} \cdot k_{116}\right)\right) / \left(\left(1 + x_{25} / k_{113} + x_{17} / k_{115}\right) \cdot \left(1 + x_{26} / k_{114} + x_{27} / k_{116}\right)\right) + 1 \cdot k_{6} \cdot \left(k_{117} \cdot x_{24} / k_{119} - k_{118} \cdot x_{26} / k_{120}\right) / \left(1 + x_{24} / k_{119} + x_{26} / k_{120}\right) + -1 \cdot k_{6} \cdot \left(k_{127} \cdot x_{28} \cdot x_{26} / \left(k_{130} \cdot k_{129}\right) - k_{128} \cdot x_{3} \cdot x_{17} / \left(k_{131} \cdot k_{132}\right)\right) / \left(\left(1 + x_{26} / k_{129} + x_{17} / k_{132}\right) \cdot \left(1 + x_{28} / k_{130} + x_{3} / k_{131}\right)\right)\right) / k_{6}\\ \frac{dx_{27}}{dt} = \left(1 \cdot k_{6} \cdot \left(k_{111} \cdot x_{25} \cdot x_{26} / \left(k_{113} \cdot k_{114}\right) - k_{112} \cdot x_{17} \cdot x_{27} / \left(k_{115} \cdot k_{116}\right)\right) / \left(\left(1 + x_{25} / k_{113} + x_{17} / k_{115}\right) \cdot \left(1 + x_{26} / k_{114} + x_{27} / k_{116}\right)\right) + -1 \cdot k_{6} \cdot \left(k_{121} \cdot x_{17} \cdot x_{27} / \left(k_{123} \cdot k_{124}\right) - k_{122} \cdot x_{3} \cdot x_{28} / \left(k_{125} \cdot k_{126}\right)\right) / \left(\left(1 + x_{17} / k_{123} + x_{3} / k_{125}\right) \cdot \left(1 + x_{27} / k_{124} + x_{28} / k_{126}\right)\right)\right) / k_{6}\\ \frac{dx_{28}}{dt} = \left(1 \cdot k_{6} \cdot \left(k_{121} \cdot x_{17} \cdot x_{27} / \left(k_{123} \cdot k_{124}\right) - k_{122} \cdot x_{3} \cdot x_{28} / \left(k_{125} \cdot k_{126}\right)\right) / \left(\left(1 + x_{17} / k_{123} + x_{3} / k_{125}\right) \cdot \left(1 + x_{27} / k_{124} + x_{28} / k_{126}\right)\right) + -1 \cdot k_{6} \cdot \left(k_{127} \cdot x_{28} \cdot x_{26} / \left(k_{130} \cdot k_{129}\right) - k_{128} \cdot x_{3} \cdot x_{17} / \left(k_{131} \cdot k_{132}\right)\right) / \left(\left(1 + x_{26} / k_{129} + x_{17} / k_{132}\right) \cdot \left(1 + x_{28} / k_{130} + x_{3} / k_{131}\right)\right)\right) / k_{6}\\ \frac{dx_{29}}{dt} = 0\\ \frac{dx_{30}}{dt} = \left(-1 \cdot k_{6} \cdot k_{7} \cdot \left(\left(-x_{2} \cdot \left(k_{4} - k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{8} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{8} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(\left(1 - 4 \cdot k_{8}\right) \cdot k_{9}\right)\right) + x_{30} \cdot \left(\left(-k_{4}\right) + x_{1} - 4 \cdot k_{8} \cdot x_{1} + k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{8} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{8} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(2 - 8 \cdot k_{8}\right)\right) / \left(k_{10} \cdot k_{11} \cdot \left(1 + x_{2} / k_{12} + x_{30} / k_{11}\right) \cdot \left(1 + \left(k_{4} - k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{8} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{8} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(\left(1 - 4 \cdot k_{8}\right) \cdot k_{13}\right) + \left(\left(-k_{4}\right) + x_{1} - 4 \cdot k_{8} \cdot x_{1} + k_{4}^{2} - 2 \cdot k_{4} \cdot x_{1} + 8 \cdot k_{8} \cdot k_{4} \cdot x_{1} + x_{1}^{2} - 4 \cdot k_{8} \cdot x_{1}^{2}^{\frac{1}{2}}\right) / \left(\left(2 - 8 \cdot k_{8}\right) \cdot k_{10}\right)\right)\right) + 1 \cdot k_{6} \cdot k_{134} \cdot \left(k_{143} - x_{30} / k_{135}\right) / \left(k_{136} \cdot \left(1 + k_{143} / k_{136} + x_{30} / k_{137} + \frac{91}{100} \cdot k_{143} \cdot x_{30} / \left(k_{137} \cdot k_{136}\right)\right)\right)\right) / k_{6}\\ \frac{dx_{31}}{dt} = 0